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3 years ago

What is the result of adding -2.9a + 6.8 and 4.4a - 7.3 ?

1 answer:

3 0

All the question is asking is basically just to combine like terms.
The like terms are (-2.9a and 4.4a) and (6.8 and -7.3).
-2.9a + 4.4a = 1.5a
6.8 + (-7.3) = 6.8 - 7.3 = -0.5
This means the result of adding the two expressions is 1.5a - 0.5.

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TEKS 7.61 Nataly has 6 pink bows, 1 blue bow, and 3 purple bows in a box. She will randomly choose 1 bow from the box. What is t

dusya [7]

Given:

Number of pink bows = 6

Number of blue bows = 1

Number of purple bows = 3

Nataly will randomly choose 1 bow from the box.

To find:

The probability that the Nataly will choose a pink bow.

Solution:

The total number of bows is:

$6+1+3=10$

The total number of bows is the total outcomes.

Total outcomes = 10

The number of pink bows is the favorable outcomes.

Favorable outcomes = 6

We know that, the probability that the Nataly will choose a pink bow is

$\text{Probability}=\dfrac{\text{Number of pink bows}}{\text{Total number of bows}}$

$\text{Probability}=\dfrac{6}{10}$

$\text{Probability}=0.6$

Therefore, the probability that Nataly will choose a pink bow is 0.6.

7 0

3 years ago

I need help so pls help me

sineoko [7]

What's the question?

8 0

4 years ago

Read 2 more answers

(NEED HELP FAST , WILL GIVE BRAINLIEST!!!)

Kryger [21]

Answer:

Explained below.

Step-by-step explanation:

The data from the scatter plot is as follows:

Arm Span Height

19.5 25

35.5 35

37.0 39

40.5 40

44.5 45

45.5 50

49.0 49

51.0 55

52.5 47

59.0 60

61.0 58

(1)

Compute the value of slope and intercept as follows:

$\sum{X} = 495 ~,~ \sum{Y} = 503 ~,~ \sum{X \cdot Y} = 23822 ~,~ \sum{X^2} = 23660.5$

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 503 \cdot 23660.5 - 495 \cdot 23822}{ 11 \cdot 23660.5 - 495^2} \approx 7.174 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 11 \cdot 23822 - 495 \cdot 503 }{ 11 \cdot 23660.5 - \left( 495 \right)^2} \approx 0.857\end{aligned}$

The equation of the line of best fit is, y = 0.857·x + 7.174.

(2)

The slope of the line represent the rate of change in y caused by one unit change in x.

In this case the slope of m = 0.857 indicates that as the arm span increases by 1 unit the height increases by 0.857 units.

(3)

To perform the Residual Test, simply take two values from the table and interchange the x and y values.

Consider the values: (37, 39) and (51, 55)

Compute the value of y if x = 39:

$y = 0.857\cdot x + 7.174\\=0.857\times 39+7.174\\=40.597\\\approx 40.6$

The new value of y (40.6) is close to the original value (39.0)

Compute the value of y if x = 55:

$y = 0.857\cdot x + 7.174\\=0.857\times 55+7.174\\=54.309\\\approx 54.0$

The new value of y (54) is close to the original value (55)

Thus, it can be said that the line of best fit models the data provided.

(4)

The line of best fit is:

y = 0.857·x + 7.174

The slope of the line is positive.

This implies that there is a positive relationship between the two variables.

The formula of slope in terms of correlation coefficient is:

$\text{Slope}=r\times\sqrt{\frac{Var(x)}{Var(x)}}$

The correlation coefficient is directly proportional to the slope.

This implies that the correlation coefficient is also positive.

Thus, the variables Arm span and Height are positively correlated.

4 0

3 years ago

A painter can paint 3 walls in one hour. Which graph models a relationship with the same unit rate?

Irina18 [472]

Answer:

the bottom faded looking one

Step-by-step explanation:

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3 years ago

I need help solve for x

kirza4 [7]

Answer:

Step-by-step explanation:

180-58=122

x=29

4 0

3 years ago